Friday

August 26, 2016
**Calculus**

Solve the differential equation: dy/dx = (3x^2) / (y+1) with initial conditions x = -1, y = 2 I have: ∫y + 1 dy = ∫3x^2 dx (y^2 / 2) + y = x^3 + C (2^2 / 2) + (2) = (-1^3) + C? 4 = -1 + C 5 = c (y^2 / 2) + y = x^3 + 5 Is this correct?
*Friday, May 27, 2016 by Omar*

**Calculus**

Volume created when the area bounded by the curve y = 1/x, the x-axis, and the lines x = 1 and x = 4 is rotated about: a) the x-axis: 2.356 units^3 Is this correct? b) the line y = 5 I'm not sure how to do this one.
*Friday, May 27, 2016 by Aria*

**Calculus**

when x intercept -3, point P(2,5,7) and Q(1,10,14) how to find x,y and z?
*Friday, May 27, 2016 by ChrismB*

**MATH - CALC**

Use calculus and algebraic methods to do a complete analysis (i.e., intervals of increase and decrease, intercepts, critical points, points of inflection, and intervals of concavity) for each of the following functions and then sketch a graph of the function. (19 marks) ƒ...
*Friday, May 27, 2016 by Ab*

**Calculus**

Solve the differential equation dy/dx = √[(x^3)(y)] with initial conditions x = 1, y = 2 so far i got y = (x^5)/25 + c so do i plug in 2 = (1^5)/25 + c 2 - (1/25) = c c = 49/25 = 1.96 is this correct?
*Thursday, May 26, 2016 by Mike*

**Calculus**

A particle with an initial velocity of -6 has its acceleration defined by a(t) = 2t+1. t is in seconds. find: a) its velocity equation b) the total distance traveled by the particle during its first 5 seconds of travel a) v(t) = t^2 + t - 6 b) 24.17 units is this correct?
*Thursday, May 26, 2016 by Yani*

**calculus-again frustrated-looking for steve asap**

if sinh(y)=[4sinh(x)-3)/(4+3sinh(x)] show that dy/dx=5/(4+3sinh(x)] step plz i plead
*Thursday, May 26, 2016 by dam*

**calculus-help me sir~steve**

show that 2f''(t)-f'(t)-f(t)=sin(t)-cos(t) where f(0)=f'(0) has the solution (-2/5)e^(-t/2)-(1/5)sin(t)+(2/5)cos(t) using laplace tranformation plz plz plz show step by step
*Thursday, May 26, 2016 by dam*

**Calculus**

Find the area of the region bounded by the curves y = x^(-1/2), y = x^(–2), y = 1, and y = 3. a) (1/2)(3)^1/2 + (4/3) b) 2*(3)^1/2 - (8/3) c) (1/2)(3)^1/2 - (32/3) d) 2*(3)^1/2 - (32/3) e) (8/3) - 2*(3)^1/2 So one thing that is throwing me off on this question is that I ...
*Tuesday, May 24, 2016 by Emily*

**Calculus**

Design an Advanced U substitution problem whose answer must be exactly 6 and can be solved without using calculator?
*Tuesday, May 24, 2016 by ChrismB*

**calculus-help.. .Me**

if y=e^(-kt)[Acosh(qt)+Bsinh(qt)] where A,B,q and k are constant show that d^2y/dt^2+2kdy/dt+(k^2-q^2)y=0 step plz thanks
*Tuesday, May 24, 2016 by samuel*

**integral calculus**

A cylindrical tank of radius 3 ft length 8 ft is laid out horizontally .The tank is half full of oil that weighs 60 pounds per cubic foot. a.)determine the work done in pumping out oil to the top of the tank. b.)determine the work required to pump out the oil to leave 4 feet ...
*Sunday, May 22, 2016 by jhay*

**Calculus**

please solve it let f be the function defined over { 0 , ∞ ) as ∫ f(x) = x(ln(x)-1)^2 for x>0 and let (c) be its representative curve , we admit that f is continous at x=0 a ) determine lim f(x) / x as x approaching 0 b) find lim f(x) as x approaching infinity ...
*Saturday, May 21, 2016 by Darker*

**calculus**

Find the domain for the particular solution to the differential equation dy dx equals the quotient of 3 times y and x, with initial condition y(1) = 1.
*Friday, May 20, 2016 by Bree*

**Calculus (Integration proving)**

Show that 0 <= [(integral)(integral, r to none)sin(pi)xcos(pi)y dA] <= 1/32 where R = [0,1/4]x[1/4]x[1,2]. Thank you.
*Friday, May 20, 2016 by Tony*

**calculus**

If the graph of f " (x) is continuous and has a relative maximum at x = c, which of the following must be true? The graph of f has an x-intercept at x = c. The graph of f has an inflection point at x = c. The graph of f has a relative minimum at x = c None of the above is...
*Friday, May 20, 2016 by Bree*

**calculus**

R is the first quadrant region enclosed by the x-axis, the curve y = 2x + a, and the line x = a, where a > 0. Find the value of a so that the area of the region R is 18 square units.
*Friday, May 20, 2016 by Bree*

**Pre-Calculus**

A drug is administered every 6 hours. The kidneys eliminate 55% of the drug over that period. The initial dose is 210 mg. Repeated dosage is 70 mg What is the “Difference equation”? Find the first seven terms of the of the solution sequence. Round to two digits each ...
*Thursday, May 19, 2016 by Anonymous*

**Pre-Calculus**

A drug is administered every 6 hours. The kidneys eliminate 55% of the drug over that period. The initial dose is 210 mg. Repeated dosage is 70 mg What is the “Difference equation”? Find the first seven terms of the of the solution sequence. Round to two digits each ...
*Thursday, May 19, 2016 by Anonymous*

**Calculus**

An observer 150 feet from point C, where a weather balloon has been released. The balloon rises vertically at a rate of 8ft/sec/. At the very instant the balloon is 250 above ground how far is it from the observer? How Quickly is it moving away from the observer at that moment...
*Wednesday, May 18, 2016 by Peter*

**Calculus**

A car accelerates from rest at 1.1+2(t^1/2) m/h per second for 9 seconds find velocity after 9 seconds.
*Wednesday, May 18, 2016 by John*

**calculus**

use logarithmic differentiation to find dy/dx for: [(x^2)(e^2)(x)] / [3√(2x-5)]
*Wednesday, May 18, 2016 by mike*

**Calculus**

Write a differential equation equivalent to "A chemical decomposition proceeds at a rate equal to the square of the amount of chemical present"
*Wednesday, May 18, 2016 by Arie*

**Calculus**

find the particular solution of the differential equation that satisfies the conditions: f''(x)=sin(x)+e^(2x) f(0)=1/4, f'(0)=1/2
*Wednesday, May 18, 2016 by Arie*

**Calculus**

solve the equation y'=(sqrt(x))/2y
*Wednesday, May 18, 2016 by Arie*

**Calculus**

given d/dx[f(2x)]=f'(x) and f'(1)=1 find f'(2) the choices are 1/4, 1/2, 3/4, 3/2, or 5/2 if it helpes
*Wednesday, May 18, 2016 by Arie*

**Calculus **

Find the particular solution of differential equations that satisfies the initial condition dx/dy=e^(x+y) x(1)=0 I know you have to get all the y and dy on one side and x and dx on the other so you can intagrate and stuff, but im having trouble getting there
*Wednesday, May 18, 2016 by Arie*

**Differential Calculus**

From a faucet, a constant inflow of water is to fill a conical vessel 15 feet deep and 7.5 feet in diameter at the top. water is rising at the rate of 2 feet per minute when the water is 4 feet deep. what is the rate of inflow in ft^3/min?
*Wednesday, May 18, 2016 by Patricia*

**Calculus**

Inflection point of 3y=x^3+3x^2-9x+3
*Wednesday, May 18, 2016 by Shery*

**Calculus**

I need help I have to submit work at 12 est time
*Tuesday, May 17, 2016 by WALE*

**Calculus**

Need help with a few questions
*Tuesday, May 17, 2016 by WALE*

**integral calculus**

Find the area between the curves y=5x and 2y=5x^2
*Tuesday, May 17, 2016 by Dessa*

**Calculus question ?**

Are there any horizontal asymptote on a ln natural log function
*Tuesday, May 17, 2016 by AMELIA*

**Grade 12 Calculus and Vectors**

A homeowner wants to enclose a rectangular garden with fencing The garden will be adjacent to his neighbours lot. There will be fencing on all four sides. His neighbour will be paying for half of the shared fence. What should the dimensions of the garden be if the area is 432 ...
*Tuesday, May 17, 2016 by Scott*

**Pre-Calculus**

Determine the magnitude of the positive vectors from the origin to to the following points. A. (3,4) B. (12,5) C. (3,-2) D. (-7,-3)
*Tuesday, May 17, 2016 by Bailey*

**Pre-Calculus**

A population of 20 rabbits is introduced to a small island. The population increase at a rate of 60% per year. (A) Find a function of F(t) that represents the number of rabbits on the island after t years. (B) Suppose 100 rabbits were introduced to the island and G(t) is the ...
*Tuesday, May 17, 2016 by Chris David*

**Calculus **

The sum of two positive numbers is 10. Find the numbers if their product is to be a maximum
*Tuesday, May 17, 2016 by Zade*

**Applied calculus**

A geologist in Tibet discovers a new mountain in the area of Gyangtse. The equation of the mountain is given by f(x,y) = -x^4 - y^4 +2xy where x and y is measured in mile. What is the relative maximum height of the mountain in meters?
*Tuesday, May 17, 2016 by Maari*

**calculus**

At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds of acetate fibers that can be produced is given by the function : z=f(x,y)=1250ln(yx^2)+45(y^2+x)(x^3 -2y)-(xy)^1/2 where z= the weekly # of pounds of acetate fiber produced x=the...
*Tuesday, May 17, 2016 by rhakesh*

**calculus**

At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds of acetate fibers that can be produced is given by the function : z=f(x,y)=1250ln(yx^2)+45(y^2+x)(x^3 -2y)-(xy)^1/2 where z= the weekly # of pounds of acetate fiber produced x=the...
*Tuesday, May 17, 2016 by rhakesh*

**calculus**

At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds of acetate fibers that can be produced is given by the function : 2 2 3 ( , ) 1250ln( ) 45( )( 2 ) z f x y yx y x x y xy where...
*Tuesday, May 17, 2016 by rhakesh*

**calculus**

A balloon is now stuck at a tree 280meters away from the ground. The balloon is observed by the crew of boat as they look upward at an angle of 25 degrees. Twenty-five seconds later, the crew has to look at an angle of 65 degrees to see the balloon. How fast was the boat ...
*Tuesday, May 17, 2016 by rhakesh*

**LIMITS CALCULUS**

lim (cubic root (7+x^2-8x^3)/(x^3-x+pi)) x--> +inf I don't know how to take the limit when there is a cubic root around . Between the ansswer is + inf . I need direction
*Tuesday, May 17, 2016 by AMELIA*

**Pre-Calculus**

Find the equation in standard form for the hyperbola that satisfies the given conditions: transverse axis endpoints (-2,-2) and (-2,7), slope of one asymptote 4/3. I found the distance of the transverse axis to be 9. For the formula, I have a=9/2. I need help finding h, k, and...
*Monday, May 16, 2016 by Katelyn*

**Pre-Calculus **

Find the equation in standard form for the hyperbola that satisfies the given conditions: transverse axis has endpoints (5,3) and (-7, 3) and conjugate axis has a length of 10. I found the distance of the transverse axis to be 12. For the formula, I have a=6 b=5. I just need ...
*Monday, May 16, 2016 by Katelyn*

**Pre-Calculus**

For any two linear functions f(x)=ax+b and g(x)=cx+d, is f o g the same as g o f?
*Monday, May 16, 2016 by Payton*

**Calculus**

Consider the region in the plane consisting of points (x, y) satisfying x > 0, y > 0, and lying between the curves y=x^2 +1and y=2x^2 −2. (b) Calculate the area of this region.
*Monday, May 16, 2016 by Mary*

**calculus**

sin(cos^-1(x/2))= draw right triangle to simplify
*Monday, May 16, 2016 by calculus*

**Integral calculus**

Use the cylindrical shell method to find the volume of the solid generated by revolving the area bounded by the given curves (x-3)^2 + y^2 = 9, about y-axis.
*Sunday, May 15, 2016 by Anonymous*

**calculus question ?**

I just can't wrap my head around this. I don't know if this is true I just came to conclusion with this if the limit of x--> +/-inf = L (if the limit of x going to pos/neg infinity gives you a number L) does that mean that L is a horizontal asymptote ? if the limit ...
*Saturday, May 14, 2016 by AMELIA*

**calculus**

Find the area of the region bounded by the graph of f(x)=x(x+3)(x+1) and the x-axis on the interval [-3,0]
*Thursday, May 12, 2016 by Anon*

**pre calculus**

The population of foxes in a certain region over a 2-year period is estimated to be P1(t) = 300 + 50 sin(πt/12) in month t, and the population of rabbits in the same region in month t is given by P2(t) = 4000 + 400 cos(πt/12) . Find the rate of change of the ...
*Thursday, May 12, 2016 by ChrismB please help me*

**Differential Calculus**

A clock has hands 1 and 1 3/5 inches long respectively. At what rate are the ends of the hands approaching each other when the time is 2 o'clock?
*Thursday, May 12, 2016 by Serena*

**Calculus**

A particle moves along the curve y=lnx so that its abscissa is increasing at a rate of 2 units per second. At what rate is the particle moving away from the origin as it passes through the point (1,e)?
*Thursday, May 12, 2016 by Alexa*

**calculus**

Use implicit differentiation to find dy/dx if 384,000=30x^1/3y^2/3 .
*Thursday, May 12, 2016 by Qwenie*

**Calculus**

A searchlight revolving once each minute is located at a distance of 1/4 mile from a straight beach. How fast is the light moving along the beach when the beam makes an angle of 60° with the shore line?
*Thursday, May 12, 2016 by Sandra*

**calculus**

A fertilizer producer finds that it can sell its product at a price of p=300-x dollars per unit when it produces x units of fertilizer. The total production cost (in dollars) for x units is C(x)= 20,000+24x+0.5x^2. How many units must be manufactured to maximize the profit?
*Thursday, May 12, 2016 by Qwenie*

**Pre Calculus**

The following table shows the rate of water flow (in L/min) through a dam. t (min) 1 5 9 13 17 21 25 V'(t) (L/min) 6 6 2 2 3 6 2 Approximate the total volume of water that passed through the dam from t=1 to t=25 using Simpson's rule, with n=6.
*Thursday, May 12, 2016 by John*

**calculus 1**

Set up the simplified integral and compute the volume created when the area bounded by y=.25x4, y=4, and the y=axis (Quadrant 1) is rotated around the line x=-2
*Wednesday, May 11, 2016 by anon*

**calculus**

Set up the simplified integral and compute the volume created when the area bounded by one period of the function 3+sin(x) and the x-axis (use the endpoints of the period starting at x=0) is rotated around: a) the x-axis b) the y-axis
*Wednesday, May 11, 2016 by bean*

**Differential Calculus**

The base of an isosceles triangle is 10 feet long and the base angles are decreasing at a rate of 2° per second. Find the rate of change of the area when the base angles are 45°.
*Wednesday, May 11, 2016 by Serena*

**Calculus**

The base of an isosceles triangle is 8 feet long. If the altitude is 6 feet long and is increasing 3 inches per minute, are what rate are the base angles changing?
*Wednesday, May 11, 2016 by Claire*

**Calculus**

A building is to be braced by means of a beam which must pass over a wall. If the wall is 3 3/8 feet high and stands 8 feet from the building, find the shortest beam that can be used.
*Wednesday, May 11, 2016 by Sandra*

**Calculus**

A statue 10 feet high is standing on a base 13 feet high. If an observer's eye is 5 feet above the ground, how far should he stand from the base in order that the angle between his lines of sight to the top and bottom of the statue be a maximum?
*Wednesday, May 11, 2016 by Alexa*

**Calculus**

Find the area of the largest rectangle cut from the first quadrant by a line tangent to the curve y=e^(-x^2)
*Wednesday, May 11, 2016 by Sandra*

**Calculus**

Using l'hopitals rule, evaluate the following: Lim x-->infinity Inx/2(x)^1/2 Limx-->0 (1/x - 1/e^x -1) I tried both multiple times and I'm still not getting an answer. For the first one I tried l'hopitals rule 3 times and I'm still getting infinity over ...
*Tuesday, May 10, 2016 by Maya*

**calculus**

The volume V, in liters, of air in the lungs during a two-second respiratory cycle is approximated by the model V = 0.1729t + 0.1522t^2 − 0.0374t^3, where t is the time in seconds. Approximate the average volume of air in the lungs during one cycle. (Round your answer to...
*Tuesday, May 10, 2016 by Sam*

**calculus sir damon help me or steve**

integrate dx/root(coshx-1) plz show step
*Tuesday, May 10, 2016 by dam*

**Calculus**

Let x µ = x µ (u) be a parametric equation for the curve in pseudo-Riemannian four-space connecting points P and Q. Here u is any, not necessarily affine parameter. Assume that the derivative satisfies Update: Let x µ = x^µ(u) be a parametric equation ...
*Tuesday, May 10, 2016 by ChrismB*

**calculus**

Find dy/dx. y = x^ln x, x > 0
*Monday, May 9, 2016 by steve*

**calculus**

1. A rocket is fired vertically into the air. Six kilometers away, a telescope tracks the rocket. At a certain moment, the angle between the telescope and the ground is and is increasing at a rate of 0.6 radians per minute. (See the picture. I have defined y to be the height ...
*Monday, May 9, 2016 by dennis*

**math: pre-calculus **

You have 5 grams of carbon-14; whose half-life is 5730 years. a)Write the rule of the function that gives the amount of carbon-14 remaining after x years. b)How much carbon-14 will be left after 4,000 years? c)When will there be just 1 gram left?
*Sunday, May 8, 2016 by Nicky*

**math: pre-calculus **

Solve the equation. First express your answer in terms of natural logarithms (for instance, z=(2+ln5)/ln3). Then use a calculator to find an approximation for the answer. 3^x+9=2^x.
*Sunday, May 8, 2016 by Nicky*

**math: pre-calculus **

If current rates of deforestation and fossil fuel consumption continue, then the amount of atmospheric carbon dioxide in parts per million (ppm) will be given by f(x)=375e^0.00609c, where c=0 corresponds to 2000. a)What is the amount of carbon dioxide in 2022? b)In what year ...
*Sunday, May 8, 2016 by Nicky*

**math: pre-calculus **

Solve the equations. Log(6x-1) = Log(x+1) + log4
*Sunday, May 8, 2016 by Nicky*

**math: pre-calculus **

Let u=lnx and v=lny. Write the expression ln3√x/2y in terms of u and v. For example, lnx^3y=lnx^3+lny=3lnx +lny= 3u+v.
*Sunday, May 8, 2016 by Nicky*

**math: pre-calculus **

Write the expression as a single logarithm. Ln(e^3y)+ln(ey)-4
*Sunday, May 8, 2016 by Nicky*

**math: pre-calculus **

Let u=ln and v=ln y. Write the expression ln(5√(x3√y)) in terms of u and v. for example, lnx^3y = lnx^3+lny = 3lnx+lny = 3u+v
*Sunday, May 8, 2016 by Nicky*

**math: pre-calculus **

For the log function (h(x)=log(x+3)-8): a) Find the domain. b) Find the asymptotes. c) Find the x-intercepts.
*Sunday, May 8, 2016 by Nicky*

**math: pre-calculus **

List the transformations that will change the graph of g(x)=lnx into the graph of the given function h(x)=log(x+3)-8 a) Horizontally shift the graph to the right by 3; then vertically shift downward by 8. b) Horizontally shift the graph to the left by 8; then vertically shift ...
*Sunday, May 8, 2016 by Nicky*

**math: pre-calculus **

Evaluate the expression without using a calculator. Unless stated otherwise, all letters represent positive numbers. e^(ln√x+5)
*Sunday, May 8, 2016 by Nicky*

**math: pre-calculus **

The Department of Commerce estimated that there were 53 million internet users in the country in 1999 and 90 million in 2002. Find an exponential function that the models the number of Internet users in year x, with x=0 corresponding to 1999.
*Sunday, May 8, 2016 by Nicky*

**math: pre-calculus **

5. For the log function (h(x)=log(x+3)-8): a) Find the domain. b) Find the asymptotes. c) Find the x-intercepts.
*Sunday, May 8, 2016 by Nicky*

**Calculus**

using implicit differentiation find the equation of the tangent line to the graph of the following function at the indicated point x^2 y^3 -y^2+xy-1=0 at (1,1)
*Sunday, May 8, 2016 by ChrismB*

**Calculus **

Water is draining from a swimming pool in such a way that the remaining volume of water after t minutes is V = 200(50 - t)^2 cubic meters. Find : (a) the average rate at which the water leaves the pool in the first 5 minutes
*Sunday, May 8, 2016 by Posul Sioni *

**calculus**

Find the limit lim x ->0 (sin^2 2x)/(x^2)
*Sunday, May 8, 2016 by Anonymous*

**calculus**

evaluate the definite integr 2 ∫ (x+1/x)² dx 1
*Sunday, May 8, 2016 by Anonymous*

**calculus**

the marginal cost function for widgets is dr/dq= 0.001Q^2+0.01Q+10 total fixed xosts equal $500 part 1= convert the marginal cost function into total cost function. part 2= determine total costs when Q=100.
*Sunday, May 8, 2016 by Alcina*

**calculus**

evaluate the definite integrals 1 ∫ root(1+3x) dx 0
*Sunday, May 8, 2016 by Jay*

**calculus**

evaluate the definite integr 2 ∫ 5/(3+2x) dx 0
*Sunday, May 8, 2016 by Jay*

**calculus help amigos**

Find the point on the line 5x+5y+7=0 which is closest to the point (3,−4)
*Saturday, May 7, 2016 by AMELIA*

**calculus help**

integrate:dx/(3x^3-5)^3 i don,t know how to use wolframalpha plz show me step....
*Saturday, May 7, 2016 by philip*

**differential calculus**

Beth leaves Muskegon, 30 mile north of Holland, traveling at 60 mph. Alvin leaves Holland traveling north at V=20t+40 mi/hr. When will Alvin pass Beth? How far from Holland will they be? :I think Beth's distance is d=60t-30 (using Holland as the frame of reference). Should...
*Saturday, May 7, 2016 by Yo*

**integral calculus**

help me integrate dx/(3x^3-5)^3 thanks
*Saturday, May 7, 2016 by philip*

**Calculus**

Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of the function and the x-axis over the given interval. f(x) = x^2 + 4x, [0, 4]
*Saturday, May 7, 2016 by Sam*

**Calculus**

Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep safe. Since Dr. Jones is a mathematician, she suggests building fences described by y=4x^2 and x^2+10. Farmer Jones thinks this would be much harder than just building an enclosure...
*Friday, May 6, 2016 by Chris*

**Calculus**

A bucket begins weighing 30 pounds, including the sand it holds. The bucket is to be lifted to the top of a 25 foot tall building by a rope of negligible weight. However, the bucket has a hole in it, and leaks 0.1 pounds of sand each foot it is lifted. Find the work done ...
*Friday, May 6, 2016 by David*

**calculus**

calculus. suppose dR/dt= (d/R)^(2) and P(1) 4. separate the differential equation, integrate both sides
*Friday, May 6, 2016 by Aishwarya*

**calculus help**

integrate:dx/(3x^3-5)^3 help plz show step
*Friday, May 6, 2016 by samuel*

**calculus help**

Integrate:(3x^5-5)^-3 dx thanks
*Friday, May 6, 2016 by dam*